Global dynamics in neuro symbolic integration using energy minimization in mean field theory
Logic program and neural networks are two important aspects in artificial intelligence. This thesis is part of an endeavour towards neural networks and logic programming integration. The goal in performing logic programming based on the energy minimization scheme is to achieve the best ratio of glo...
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my-unimap-779742023-03-06T00:51:32Z Global dynamics in neuro symbolic integration using energy minimization in mean field theory Zainor Ridzuan, Yahya. Dr. Logic program and neural networks are two important aspects in artificial intelligence. This thesis is part of an endeavour towards neural networks and logic programming integration. The goal in performing logic programming based on the energy minimization scheme is to achieve the best ratio of global minimum. However, there is no guarantee to find the best minimum in the network. To achieve this, a learning algorithm based on the Boltzmann Machine (BM) concept and Hyperbolic Tangent Activation Function (HTAF) was derived to accelerate the performance of doing logic programming in Hopfield Neural Network (HNN) by using Mean Field Theory (MFT). Logic programming for lower order (up to third order clauses) and higher order clauses (up to eight order clauses) have been developed for MFT. The performance of this method is compared with the existing methods of doing logic programming in HNN (BM and HTAF). The global minima ratio, hamming distances and computational time were used to measure the effectiveness of the proposed method. Then, Agent Based Models (ABM) were developed by using Netlogo. ABM can allow rapid development of models, easy addition of features and a user-friendly handling and coding. Later the developed models are tested by using real life and simulated data sets. The simulation results obtain agreed with the proposed learning algorithm. The performance of doing logic programming using MFT proved to be better than the BM and HTAF. Universiti Malaysia Perlis (UniMAP) Thesis en http://dspace.unimap.edu.my:80/xmlui/handle/123456789/77974 http://dspace.unimap.edu.my:80/xmlui/bitstream/123456789/77974/3/license.txt 8a4605be74aa9ea9d79846c1fba20a33 http://dspace.unimap.edu.my:80/xmlui/bitstream/123456789/77974/1/Page%201-24.pdf 9a03d219521607082de9857904548cfc http://dspace.unimap.edu.my:80/xmlui/bitstream/123456789/77974/2/Full%20text.pdf 1acfa6dc5717b47ad80619772a805554 http://dspace.unimap.edu.my:80/xmlui/bitstream/123456789/77974/4/Muraly.pdf 33e49b9db65b06df92515a30dcc5e6b3 Universiti Malaysia Perlis (UniMAP) Logic programming Neural networks (Computer science) Mean Field Theory (MFT) Institute of Engineering Mathematics |
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Universiti Malaysia Perlis |
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UniMAP Institutional Repository |
language |
English |
advisor |
Zainor Ridzuan, Yahya. Dr. |
topic |
Logic programming Neural networks (Computer science) Mean Field Theory (MFT) |
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Logic programming Neural networks (Computer science) Mean Field Theory (MFT) Global dynamics in neuro symbolic integration using energy minimization in mean field theory |
description |
Logic program and neural networks are two important aspects in artificial intelligence. This thesis is part of an endeavour towards neural networks and logic programming integration. The goal in performing logic programming based on the energy minimization
scheme is to achieve the best ratio of global minimum. However, there is no guarantee to find the best minimum in the network. To achieve this, a learning algorithm based on the Boltzmann Machine (BM) concept and Hyperbolic Tangent Activation Function (HTAF) was derived to accelerate the performance of doing logic programming in Hopfield Neural Network (HNN) by using Mean Field Theory (MFT). Logic programming for lower order (up to third order clauses) and higher order clauses (up to eight order clauses) have been developed for MFT. The performance of this method is compared with the existing methods of doing logic programming in HNN (BM and HTAF). The global minima ratio, hamming distances and computational time were used to measure the effectiveness of the proposed method. Then, Agent Based Models (ABM) were developed by using Netlogo. ABM can allow rapid development of models, easy addition of features and a user-friendly handling and coding. Later the developed models are tested by using real life and simulated data sets. The simulation results obtain agreed with the proposed learning algorithm. The performance of doing logic programming using MFT proved to be better than the BM and HTAF. |
format |
Thesis |
title |
Global dynamics in neuro symbolic integration using energy minimization in mean field theory |
title_short |
Global dynamics in neuro symbolic integration using energy minimization in mean field theory |
title_full |
Global dynamics in neuro symbolic integration using energy minimization in mean field theory |
title_fullStr |
Global dynamics in neuro symbolic integration using energy minimization in mean field theory |
title_full_unstemmed |
Global dynamics in neuro symbolic integration using energy minimization in mean field theory |
title_sort |
global dynamics in neuro symbolic integration using energy minimization in mean field theory |
granting_institution |
Universiti Malaysia Perlis (UniMAP) |
granting_department |
Institute of Engineering Mathematics |
url |
http://dspace.unimap.edu.my:80/xmlui/bitstream/123456789/77974/1/Page%201-24.pdf http://dspace.unimap.edu.my:80/xmlui/bitstream/123456789/77974/2/Full%20text.pdf http://dspace.unimap.edu.my:80/xmlui/bitstream/123456789/77974/4/Muraly.pdf |
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